MinT - Information on Result #1063004

Information on Result #1063004

Linear OOA(3¹⁰¹, 38, F₃, 4, 44) (dual of [(38, 4), 51, 45]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁰¹, 76, F₃, 2, 44) (dual of [(76, 2), 51, 45]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁰¹, 77, F₃, 2, 44) (dual of [(77, 2), 53, 45]-NRT-code), using
- 1 step truncation [i] based on linear OOA(3¹⁰², 78, F₃, 2, 45) (dual of [(78, 2), 54, 46]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OOA(9²⁵, 26, F₉, 2, 22) (dual of [(26, 2), 27, 23]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(9²⁵, 28, F₉, 2, 22) (dual of [(28, 2), 31, 23]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,33P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
        the Hermitian function field over F₉ [i]
    2. linear OA(3¹, 3, F₃, 1) (dual of [3, 2, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.